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In the circle K, what is the value of x?

options: x= 30dg,25dg,20dg, or 15dg.

 

What is the measure of (Arc symbol) AC?

KenyaT.  Mar 7, 2017
 #1
avatar+87333 
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We have a right angle with the diameter as a hypotenuse....the other two angles are complementary.....so  x  = 15°

 

The inscribed angle is (1/2)  of its intercepted arc

 

So

 

(4x + 3.5)   = (1/2)(4x + 17)   multiply through by 2

 

2 (4x - 3.5)   = (4x + 17)

 

8x - 7  = 4x + 17        add 7 to both sides, subtract 4x from each side

 

4x  = 24    divide both sides by 4

 

x  = 6

 

So  AC   =  4(6) + 17    =  24 + 17   =  41°

 

 

cool cool cool

CPhill  Mar 7, 2017

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